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Finding the Fourth Proportional to 926.83, 1,279.14 and 533.85

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Solution

The fourth proportional to 926.83, 1,279.14 and 533.85 is: 736.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.83 : 1,279.14 = 533.85 : x
  2. Step 2: Convert to fraction form
    926.83/1,279.14 = 533.85/x
  3. Step 3: Cross multiply
    926.83x = 1,279.14 × 533.85
  4. Step 4: Simplify right side
    926.83x = 682,868.89
  5. Step 5: Solve for x
    x = 682,868.89/926.83
  6. Step 6: Final answer
    x = 736.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.